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Simplifying 9(p + 4) = 9(-1p + 6) Reorder the terms: 9(4 + p) = 9(-1p + 6) (4 * 9 + p * 9) = 9(-1p + 6) (36 + 9p) = 9(-1p + 6) Reorder the terms: 36 + 9p = 9(6 + -1p) 36 + 9p = (6 * 9 + -1p * 9) 36 + 9p = (54 + -9p) Solving 36 + 9p = 54 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 36 + 9p + 9p = 54 + -9p + 9p Combine like terms: 9p + 9p = 18p 36 + 18p = 54 + -9p + 9p Combine like terms: -9p + 9p = 0 36 + 18p = 54 + 0 36 + 18p = 54 Add '-36' to each side of the equation. 36 + -36 + 18p = 54 + -36 Combine like terms: 36 + -36 = 0 0 + 18p = 54 + -36 18p = 54 + -36 Combine like terms: 54 + -36 = 18 18p = 18 Divide each side by '18'. p = 1 Simplifying p = 1
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